Samantha is making brownies for the entire staff at Arlington Elementary School Altogether, 73 adults help make her school a wonderful place to be and learn every
day. One box of brownies is enough for 16 teachers. How many boxes of brownies will
Samantha need to make in order to have enough for the entire staff at Arlington
Elementary School?
F
G
4 boxes, because 73 - 16 is about 4
4 boxes, because 73 : 16 is about 456
5 boxes, because 73 - 16 is about 4.56
Ether 4 or 5 because 73 - 16 is about 4.56
H

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

560

step-by-step explanation:

giggidy